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math.NT2019
Congruences in fractional partition functions
Yunseo Choi
The coefficients of the generating function produce for . In particular, when , the partition function is obtained. Recently, Chan…
math.NT2019
Ramanujan Congruences for Fractional Partition Functions
Erin Bevilacqua, Kapil Chandran, Yunseo Choi
For rational , the fractional partition functions are given by the coefficients of the generating function . When , one obtains the usual partitio…